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Part I: Preliminary material.- Symplectic Geometry.- Elements of Poisson Geometry.- Hamiltonian G-actions and the Marsden-Weinstein-Meyer reduction.- Lagrangian fibrations and integrable systems.- Elements of Bi-Hamiltonian Geometry.- Bibliographical Notes.- Part II: A Sample of Classical Integrable Systems.- Rigid bodies.- The Toda System.- Calogero-Moser Systems.- Appendix A: Elements of Symplectic Linear Algebra.- Appendix B: Elements of Differential Geometry.- Appendix C: Lie Groups, Lie Algebras, and Fiber Bundles.- Appendix D: Cotangent Lifts.- Bibliography.- Index.

Geometry of Integrable Systems

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    A Hardback by Alessandro Arsie

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      Publisher: Springer
      Publication Date: Publication Date: 27/08/2025
      ISBN13: 9783031962813, 978-3031962813
      ISBN10:
      Also in:
      Mathematics Differential and Riemannian geometry

      Description

      Book Synopsis

      Part I: Preliminary material.- Symplectic Geometry.- Elements of Poisson Geometry.- Hamiltonian G-actions and the Marsden-Weinstein-Meyer reduction.- Lagrangian fibrations and integrable systems.- Elements of Bi-Hamiltonian Geometry.- Bibliographical Notes.- Part II: A Sample of Classical Integrable Systems.- Rigid bodies.- The Toda System.- Calogero-Moser Systems.- Appendix A: Elements of Symplectic Linear Algebra.- Appendix B: Elements of Differential Geometry.- Appendix C: Lie Groups, Lie Algebras, and Fiber Bundles.- Appendix D: Cotangent Lifts.- Bibliography.- Index.

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